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Fractal functions, fractal surfaces, and wavelets / Peter R. Massopust.

By: Material type: TextTextPublication details: Amsterdam : Elsevier/AP, ©2016.Edition: Second editionDescription: xix, 405 pages : illustrations ; 24 cmISBN:
  • 9780128044087
Subject(s): DDC classification:
  • 514.742 23 M421
Contents:
Part I. Foundations. 1. Mathematical Preliminaries -- 2. Construction of Fractal Sets -- 3. Dimension Theory -- 4. Dynamical Systems and Dimension -- Part II. Fractal Functions and Fractal Surfaces. 5. Construction of Fractal Functions -- 6. Fractels and Self-Referential Functions -- 7. Dimension of Fractal Functions -- 8. Fractal Functions and Wavelets -- 9. Fractal Surfaces -- 10. Fractal Surfaces and Wavelets in Rn.
Summary: Fractal Functions, Fractal Surfaces, and Wavelets, Second Edition, is the first systematic exposition of the theory of local iterated function systems, local fractal functions and fractal surfaces, and their connections to wavelets and wavelet sets. The book is based on Massopust’s work on and contributions to the theory of fractal interpolation, and the author uses a number of tools―including analysis, topology, algebra, and probability theory―to introduce readers to this exciting subject.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 514.742 M421 (Browse shelf(Opens below)) Available 137980
Total holds: 0

Includes bibliographical references and index.

Part I. Foundations.
1. Mathematical Preliminaries --
2. Construction of Fractal Sets --
3. Dimension Theory --
4. Dynamical Systems and Dimension --
Part II. Fractal Functions and Fractal Surfaces.
5. Construction of Fractal Functions --
6. Fractels and Self-Referential Functions --
7. Dimension of Fractal Functions --
8. Fractal Functions and Wavelets --
9. Fractal Surfaces --
10. Fractal Surfaces and Wavelets in Rn.

Fractal Functions, Fractal Surfaces, and Wavelets, Second Edition, is the first systematic exposition of the theory of local iterated function systems, local fractal functions and fractal surfaces, and their connections to wavelets and wavelet sets. The book is based on Massopust’s work on and contributions to the theory of fractal interpolation, and the author uses a number of tools―including analysis, topology, algebra, and probability theory―to introduce readers to this exciting subject.

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